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679940352 = 28337132347
BaseRepresentation
bin101000100001110…
…001000100000000
31202101102112211000
4220201301010000
52343031042402
6151245252000
722564253250
oct5041610400
91671375730
10679940352
11319899283
1216b864000
13aab37a90
1466435960
153ea5dc1c
hex28871100

679940352 has 576 divisors, whose sum is σ = 2637250560. Its totient is φ = 167878656.

The previous prime is 679940311. The next prime is 679940357. The reversal of 679940352 is 253049976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 679940298 and 679940307.

It is not an unprimeable number, because it can be changed into a prime (679940357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14466793 + ... + 14466839.

It is an arithmetic number, because the mean of its divisors is an integer number (4578560).

Almost surely, 2679940352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318625280).

679940352 is an abundant number, since it is smaller than the sum of its proper divisors (1957310208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

679940352 is a wasteful number, since it uses less digits than its factorization.

679940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 679940352 is about 26075.6658975375. The cubic root of 679940352 is about 879.3402217096.

The spelling of 679940352 in words is "six hundred seventy-nine million, nine hundred forty thousand, three hundred fifty-two".